Question

HELP 25 POINTS ASAP PLEASE BRAINLIST TO CORRECT ANSWER

Find the area of a triangle with a base of (4x+3) and a height of (4x-3)

Answer 1

Answer:

$8x^2-4.5$

Step-by-step explanation:

So we know already that, in order to find the area of a triangle, we need to find base * height / 2. That doesn't change when we have variables involved, it just gets a little more complicated.

The trick is we need to just dumb down and not overthink anything. Just foil like normal.

FOIL = First Outer Inner Last, it's a way of multiplying. Basically, you take multiply the first variables, the second variables, the inner variables, and then the last variables.

$\frac{(4x+3)*(4x-3)}{2}\\\frac{(4x*4x + 4x*(-3) + 3*4x + 3*(-3)}{2}\\\frac{16x^2-12x+12x-9}{2}\\\frac{16x^2-9}{2}$

Now you could just keep it in that form, but I personally would rather simplify it into decimals to get $8x^2-4.5$

Additionally, if your answer choices do not include decimals, try either 8x^2 - 9/2 , or (16x^2 - 9)/2

Answer 2

Area= 1/2 base x height so (4x+3)/2 = (2x+1.5). Times this by the height (2x+1.5)x(4x-3). Use FOIL. To get 8x^2 - 6x + 6x - 4.5 which once collected give 8x^2 - 4.5